2002112 has 56 divisors (see below), whose sum is σ = 4693920. Its totient is φ = 829440.

The previous prime is 2002093. The next prime is 2002151. The reversal of 2002112 is 2112002.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 2002112.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18314 + ... + 18422.

It is an arithmetic number, because the mean of its divisors is an integer number (83820).

2^2002112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2346960).

2002112 is an abundant number, since it is smaller than the sum of its proper divisors (2691808).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2002112 is a wasteful number, since it uses less digits than its factorization.

2002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2002112 is about 1414.9600701080. The cubic root of 2002112 is about 126.0364386087.

Adding to 2002112 its reverse (2112002), we get a palindrome (4114114).

The spelling of 2002112 in words is "two million, two thousand, one hundred twelve".